1. Açık Erişim@BUU
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Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/25235
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dc.date.accessioned2022-03-21T12:23:06Z-
dc.date.available2022-03-21T12:23:06Z-
dc.date.issued2011-10-
dc.identifier.citationÖzkoç, A. vd. (2011). "Solving some parametric quadratic Diophantine equation over Z and F-p". Applied Mathematics and Computation, 218(3), 703-706.en_US
dc.identifier.issn0096-3003-
dc.identifier.urihttps://doi.org/10.1016/j.amc.2011.03.071-
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0096300311004395-
dc.identifier.urihttp://hdl.handle.net/11452/25235-
dc.description.abstractLet t >= 2 be an integer. In this work, we consider the integer solutions to the Diophantine equation D: x(2) + (t - t(2))y(2) + (4 - 8t)x + (8t(2) - 8t)y + 3 = 0 over Z and over finite fields F-p for primes p >= 2, respectively. We also derive some algebraic identities related to the integer solutions of D including recurrence relations and continued fractions.en_US
dc.language.isoenen_US
dc.publisherElsevier Scienceen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMathematicsen_US
dc.subjectDiophantine equationen_US
dc.subjectPell equationen_US
dc.subjectInteger solutionsen_US
dc.subjectContinued fractionen_US
dc.subjectFinite fieldsen_US
dc.subjectFinite element methoden_US
dc.subjectContinued fractionen_US
dc.subjectDiophantine equationen_US
dc.subjectFinite fieldsen_US
dc.subjectInteger solutionsen_US
dc.subjectPell equationen_US
dc.subjectInteger programmingen_US
dc.titleSolving some parametric quadratic Diophantine equation over Z and F-pen_US
dc.typeArticleen_US
dc.identifier.wos000294298400013tr_TR
dc.identifier.scopus2-s2.0-80052263789tr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.tr_TR
dc.relation.bapUAP (F)-2010/55tr_TR
dc.relation.bap2006/40tr_TR
dc.relation.bap2008/31tr_TR
dc.relation.bap2008/54tr_TR
dc.identifier.startpage703tr_TR
dc.identifier.endpage706tr_TR
dc.identifier.volume218tr_TR
dc.identifier.issue3tr_TR
dc.relation.journalApplied Mathematics and Computationen_US
dc.contributor.buuauthorÖzkoç, Arzu-
dc.contributor.buuauthorTekcan, Ahmet-
dc.contributor.buuauthorCangül, İsmail Naci-
dc.subject.wosMathematics, applieden_US
dc.indexed.wosSCIEen_US
dc.indexed.scopusScopusen_US
dc.wos.quartileQ1en_US
dc.contributor.scopusid24485340700tr_TR
dc.contributor.scopusid55883777900tr_TR
dc.contributor.scopusid57189022403tr_TR
dc.subject.scopusReal Quadratic Fields; Pell's Equation; Number Fielden_US
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